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Finding the Third Proportional to 69,257 and 103,430

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Solution

The third proportional to 69,257 and 103,430 is: 154,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,257 : 103,430 = 103,430 : x
  2. Step 2: Convert to fraction form
    69,257/103,430 = 103,430/x
  3. Step 3: Cross multiply
    69,257x = 103,430 × 103,430
  4. Step 4: Simplify right side
    69,257x = 10,697,764,900
  5. Step 5: Solve for x
    x = 10,697,764,900/69,257
  6. Step 6: Final answer
    x = 154,464.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.